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Question

|x-9|= x^2-9x

Answer 1

|x - 9| = x² - 9x

Assuming argument is positive

x - 9 = x² - 9x

0 = x² - 10x + 9

0 = (x - 1)(x - 9)

{1, 9}

Assuming argument is negative

-(x - 9) = x² - 9x

-x + 9 = x² - 9x

0 = x² - 8x - 9

0 = (x + 1)(x - 9)

{-1, 9}

 

{-1, 1, 9}